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Finding the Fourth Proportional to 1,977.96, 2,966.19 and 679.20

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Solution

The fourth proportional to 1,977.96, 2,966.19 and 679.20 is: 1,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.96 : 2,966.19 = 679.20 : x
  2. Step 2: Convert to fraction form
    1,977.96/2,966.19 = 679.20/x
  3. Step 3: Cross multiply
    1,977.96x = 2,966.19 × 679.20
  4. Step 4: Simplify right side
    1,977.96x = 2,014,636.25
  5. Step 5: Solve for x
    x = 2,014,636.25/1,977.96
  6. Step 6: Final answer
    x = 1,018.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.